Restate the a priori property in your own words. For the following several exercises, consider the following data set from Quinlan [4] shown as Table 12.8. The goal is to develop association rules using the a priori algorithm for trying to predict when a certain (evidently indoor) game may be played. Therefore, unlike the vegetable stand example, we may restrict our itemset search to items that include the attribute play.

Table 12.8

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No. Outlook Temperature 1 Sunny Hot 2 Sunny Hot 3 Overcast Hot Mild Cool Cool 7 Overcast Cool 8 Sunny Mild 9 Sunny Cool Rain Mild Sunny Mild Overcast Mild Overcast Hot Rain Mild 4 Rain 5 Rain 6 Rain 10 11 12 13 14 Humidity Windy Play High False No High True No High False Yes High False Yes Normal False Yes Normal True No Normal True Yes False No False Yes False Yes True Yes True Yes False Yes True No High Normal Normal Normal High Normal High